<?xml version="1.0" encoding="UTF-8"?><article xml:lang="en" article-type="research-article"><front><journal-meta><journal-id journal-id-type="pmc-domain-id">440</journal-id><journal-id journal-id-type="pmc-domain">plosone</journal-id><journal-title-group><journal-title>PLOS ONE</journal-title><abbrev-journal-title>PLoS One</abbrev-journal-title></journal-title-group><publisher><publisher-name>PLOS</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="pmcid">PMC11581221</article-id><article-id pub-id-type="pmcaid">11581221</article-id><article-id pub-id-type="pmcaiid">11581221</article-id><article-id pub-id-type="pmid">39570911</article-id><article-id pub-id-type="doi">10.1371/journal.pone.0309052</article-id><title-group><article-title>The 3D dynamic visualization simulation of rice plant based on morphological structure model and the application in phenotypic calculation</article-title></title-group><contrib-group content-type="author"><contrib><name name-style="western"><surname>Zhang</surname><given-names initials="Y">Yonghui</given-names></name><role>Conceptualization, Project administration, Visualization, Writing – original draft</role><xref ref-type="aff" rid="aff001">1</xref><xref rid="cor001" ref-type="author-notes">*</xref></contrib><contrib><name name-style="western"><surname>Zhang</surname><given-names initials="Y">Yujie</given-names></name><role>Data curation</role><xref ref-type="aff" rid="aff002">2</xref></contrib><contrib><name name-style="western"><surname>Zhang</surname><given-names initials="P">Peng</given-names></name><role>Investigation</role><xref ref-type="aff" rid="aff003">3</xref></contrib><contrib><name name-style="western"><surname>Tang</surname><given-names initials="L">Liang</given-names></name><role>Investigation, Software</role><xref ref-type="aff" rid="aff004">4</xref></contrib><contrib><name name-style="western"><surname>Liu</surname><given-names initials="X">Xiaojun</given-names></name><role>Investigation, Validation, Visualization</role><xref ref-type="aff" rid="aff004">4</xref></contrib><contrib><name name-style="western"><surname>Cao</surname><given-names initials="W">Weixing</given-names></name><role>Conceptualization, Writing – review &amp; editing</role><xref ref-type="aff" rid="aff004">4</xref></contrib><contrib><name name-style="western"><surname>Zhu</surname><given-names initials="Y">Yan</given-names></name><role>Conceptualization, Writing – review &amp; editing</role><xref ref-type="aff" rid="aff004">4</xref></contrib></contrib-group><contrib-group content-type="editor"><contrib><name name-style="western"><surname>Sun</surname><given-names initials="X">Xiaoyong</given-names></name><role>Editor</role><xref ref-type="aff" rid="edit1">5</xref></contrib></contrib-group><aff id="aff001"><label>1</label>School of Computer Engineering, Weifang University, Weifang, P. R. China</aff><aff id="aff002"><label>2</label>Weifang People’s Hospital, Weifang, P. R. China</aff><aff id="aff003"><label>3</label>School of Physics and Electronic Information, Weifang University, Weifang, P. R. China</aff><aff id="aff004"><label>4</label>National Engineering and Technology Center of Information Agriculture, Nanjing Agricultural University, Nanjing, P. R. China</aff><aff id="edit1"><label>5</label>Shandong Agricultural University, CHINA</aff><author-notes><fn id="coi001"><p><bold>Competing Interests: </bold>The authors have declared that no competing interests exist.</p></fn><fn id="cor001"><label>✉</label><p>* E-mail: <email>zyh_8102@163.com</email></p></fn></author-notes><pub-date><day>21</day><month>11</month><year>2024</year></pub-date><volume>19</volume><issue>11</issue><fpage>e0309052</fpage><page-range>e0309052</page-range><pub-history><event event-type="pmc-release"><date><day>21</day><month>11</month><year>2024</year></date></event></pub-history><permissions><copyright-statement>© 2024 Zhang et al</copyright-statement><license><license-p>This is an open access article distributed under the terms of the <ext-link xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://creativecommons.org/licenses/by/4.0/" ext-link-type="uri">Creative Commons Attribution License</ext-link>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.</license-p></license></permissions><self-uri xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="pone.0309052.pdf" content-type="pmc-pdf"><?cloudpmc-path bf48/11581221/9f3678e1989e/pone.0309052.pdf?><?cloudpmc-bucket app?><?size 2998220?></self-uri><abstract id="abstract1"><title>Abstract</title><p>The virtual crop stands as a vital content in crop model research field, and has become an indispensable tool for exploring crop phenotypes. The focal objective of this undertaking is to realize three-dimensional (3D) dynamic visualization simulations of rice individual and rice populations, as well as to predict rice phenotype using virtual rice. Leveraging our laboratory’s existing research findings, we have realized 3D dynamic visualizations of rice individual and populations across various growth degree days (GDD) by integrating the synchronization relationship between the above-ground parts and the root system in rice plant. The resulting visualization effects are realistic with better predictive capability for rice morphological changes. We conducted a field experiment in Anhui Province in 2019, and obtained leaf area index data for two distinct rice cultivars at the tiller stage, jointing stage, and flowering stage. A method of segmenting leaf based on the virtual rice model is employed to predict the leaf area index. A comparative analysis between the measured and simulated leaf area index yielded relative errors spanning from 7.58% to 12.69%. Additionally, the root mean square error, the mean absolute error, and the coefficient of determination were calculated as 0.56, 0.55, and 0.86, respectively. All the evaluation criteria indicate a commendable level of accuracy. These advancements provide both technical and modeling support for the development of virtual crops and the prediction of crop phenotypes.</p></abstract><custom-meta-group><custom-meta><meta-name>status</meta-name><meta-value>released</meta-value></custom-meta><custom-meta><meta-name>display-pdf</meta-name><meta-value>yes</meta-value></custom-meta><custom-meta><meta-name>is-olf</meta-name><meta-value>no</meta-value></custom-meta><custom-meta><meta-name>is-manuscript</meta-name><meta-value>no</meta-value></custom-meta><custom-meta><meta-name>is-preprint</meta-name><meta-value>no</meta-value></custom-meta><custom-meta><meta-name>is-journal-matter</meta-name><meta-value>no</meta-value></custom-meta><custom-meta><meta-name>is-scanned</meta-name><meta-value>no</meta-value></custom-meta><custom-meta><meta-name>is-retracted</meta-name><meta-value>no</meta-value></custom-meta></custom-meta-group></article-meta><notes notes-type="article-notes"><sec id="historyarticle-meta1" sec-type="history" disp-level="2"><p>Received 2024 Apr 9; Accepted 2024 Aug 6; Collection date 2024.</p></sec></notes></front><body><sec id="sec001" disp-level="1"><title>1 Introduction</title><p>Virtual crops have emerged as a pivotal topic in intelligent agriculture, boasting immense potential for application in agricultural education, plant-type design, and crop phenotype analysis [<xref rid="pone.0309052.ref001" ref-type="bibr">1</xref>, <xref rid="pone.0309052.ref002" ref-type="bibr">2</xref>]. Significant advancements have been achieved in the morphological modeling and visualization of various crops, including maize [<xref rid="pone.0309052.ref003" ref-type="bibr">3</xref>–<xref rid="pone.0309052.ref006" ref-type="bibr">6</xref>], wheat [<xref rid="pone.0309052.ref007" ref-type="bibr">7</xref>–<xref rid="pone.0309052.ref010" ref-type="bibr">10</xref>], cotton [<xref rid="pone.0309052.ref011" ref-type="bibr">11</xref>–<xref rid="pone.0309052.ref013" ref-type="bibr">13</xref>], and crop root systems [<xref rid="pone.0309052.ref014" ref-type="bibr">14</xref>, <xref rid="pone.0309052.ref015" ref-type="bibr">15</xref>]. In addition, there have been remarkable breakthroughs in the development of crop functional-structural models [<xref rid="pone.0309052.ref016" ref-type="bibr">16</xref>, <xref rid="pone.0309052.ref017" ref-type="bibr">17</xref>]. These advancements not only enhance our understanding of crop growth and development but also pave the way for more precise and efficient agricultural practices. Rice crop, a vital food crop with its intricate morphological structure, has consistently garnered significant attention as a research hotspot in the virtual crop. In recent years, Watanabe et al. [<xref rid="pone.0309052.ref018" ref-type="bibr">18</xref>] visualized a single rice plant utilizing L-studio, leveraging a rice organs morphology model that demonstrated a remarkable prediction accuracy in rice tillering. Zheng et al. [<xref rid="pone.0309052.ref019" ref-type="bibr">19</xref>] constructed a 3D model of the rice canopy using a virtual layer cutting method. This method was grounded in 3D structural data obtained from a field-based 3D digitizing instrument. Furthermore, the 3D digitizing data were utilized to simulate and compare light distribution within rice canopies of different varieties, thereby investigating their photosynthetic production potential [<xref rid="pone.0309052.ref020" ref-type="bibr">20</xref>]. Ding et al. [<xref rid="pone.0309052.ref021" ref-type="bibr">21</xref>] employed a parameterized L-system to generate the topological structure and achieved 3D visualization of rice plant through the integration of organ geometry modeling. Xu et al. [<xref rid="pone.0309052.ref022" ref-type="bibr">22</xref>] established a gene-related functional structure model of rice to improve the research depth and breadth. Subsequently, Xu et al. [<xref rid="pone.0309052.ref002" ref-type="bibr">2</xref>] put forward the problems and disadvantages of using rice growth model for virtual seed breeding and discussed the possible solutions. Wei et al. [<xref rid="pone.0309052.ref023" ref-type="bibr">23</xref>] conducted a quantitative analysis to assess the impact of the PAY1 gene on the structural characteristics of rice canopy, aiming to provide valuable structural parameters for breeding the desired plant type. Furthermore, our laboratory has reported several meaningful results in modeling morphology of rice plant. Chang [<xref rid="pone.0309052.ref024" ref-type="bibr">24</xref>] established a morphology model of the above-ground parts in rice plant, drawing from field experimental data under different growth conditions. Building on this foundation, Wu [<xref rid="pone.0309052.ref025" ref-type="bibr">25</xref>] achieved visualization expressions for rice organs, plant individual, and rice populations without root system. Zhu et al. [<xref rid="pone.0309052.ref026" ref-type="bibr">26</xref>] further constructed a dynamic leaf shape model for various rice cultivars across different growth environments. Meanwhile, we have developed models for rice leaf morphology [<xref rid="pone.0309052.ref027" ref-type="bibr">27</xref>], stem-sheath angle [<xref rid="pone.0309052.ref028" ref-type="bibr">28</xref>], panicle morphology and panicle color [<xref rid="pone.0309052.ref029" ref-type="bibr">29</xref>], and leaf color [<xref rid="pone.0309052.ref030" ref-type="bibr">30</xref>], all aimed at improving the morphological modeling and visualization for rice plant. These achievements provide crucial insights for crop growth prediction, cultivation management, and plant type design [<xref rid="pone.0309052.ref031" ref-type="bibr">31</xref>]. Nevertheless, there is a lack of systematic studies on the visualization of rice plant that integrate both the above-ground parts and root system, as well as population-level.</p><p>Crop phenotype is played a crucial role for photosynthesis during crop growth, which can be studied using conditional method [<xref rid="pone.0309052.ref032" ref-type="bibr">32</xref>], but it is insufficient and destructive. Recently, some non-destructive monitoring methods have been applied to obtain and predict the crop phenotype traits based on sensor techniques [<xref rid="pone.0309052.ref033" ref-type="bibr">33</xref>–<xref rid="pone.0309052.ref038" ref-type="bibr">38</xref>]. The segmentation technique for crop organ based on 3D point clouds also had attracted much attention, providing refined data for phenotype extraction and growth simulation [<xref rid="pone.0309052.ref039" ref-type="bibr">39</xref>–<xref rid="pone.0309052.ref041" ref-type="bibr">41</xref>]. However, the intricate structure of the crop canopy and the challenges associated with obtaining accurate morphological data have hindered the simulation on crop phenotype. The virtual crop model holds the potential to offer real-time and dynamic simulations of crop phenotypes during various growth stages, under different crop growth conditions, but it has been infrequently employed for predicting canopy phenotype traits.</p><p>According to the research framework described in <xref rid="pone.0309052.g001" ref-type="fig">Fig 1</xref>, the objectives of this study are to (1) realize the 3D dynamic visualizations of rice individual and populations through a systematic integration of our lab’s previous studies [<xref rid="pone.0309052.ref024" ref-type="bibr">24</xref>, <xref rid="pone.0309052.ref026" ref-type="bibr">26</xref>–<xref rid="pone.0309052.ref030" ref-type="bibr">30</xref>] using the computer visualization techniques. (2) to employ the virtual rice model developed in this study to simulate the plant phenotype of leaf area index (LAI) for diverse rice cultivars across various growth conditions and stages. These simulations will offer invaluable support for the construction of virtual crop models and their subsequent application in crop production and management strategies.</p><fig id="pone.0309052.g001" position="float"><?disp-level 2?><label>Fig 1</label><caption><title>Basic research framework in this study.</title></caption><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="image" xlink:href="pone.0309052.g001.jpg"><?cloudpmc-path blobs/bf48/11581221/b4b4dbb2f685/pone.0309052.g001.jpg?><?cloudpmc-bucket cdn?><?image-server-status LOAD_COMPLETED?><?original-height 1172?><?original-width 1719?><?scaled-height 468?><?scaled-width 687?></graphic><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="thumb" xlink:href="pone.0309052.g001.gif"><?cloudpmc-path blobs/bf48/11581221/1725385abdca/pone.0309052.g001.gif?><?cloudpmc-bucket cdn?></graphic></alternatives></fig></sec><sec id="sec002" disp-level="1"><title>2 Materials and methods</title><sec id="sec003" disp-level="2"><title>2.1 Field experiment design</title><p>The field experiment was conducted in 2019 in Dangtu of Anhui Province (31°34’15″N, 118°29’52″E). Two cultivars, Wuxiangjing 14 (WJ14) and Yangdao 6 (YD6), were planted on 20 May. The transplantation occurred on 7 June, with YD6 planted at a spacing of 26 cm × 18 cm and WJ14 at 18 cm × 15 cm, each hole containing one seedling per cultivar. The experimental design was a randomized complete block with three replications. For both cultivars, totaling nitrogen rate (230 kg·ha<sup>-1</sup>) was applied in four splits, 50% pre-transplanting, 10% at tillering stage, 20% at spikelet promotion stage, and 20% at spikelet protection stages. Phosphorus (P<sub>2</sub>O<sub>5</sub>) and potassium (K<sub>2</sub>O) were applied as basal doses at 80 kg·ha<sup>-1</sup> and 160 kg·ha<sup>-1</sup>, respectively. All other management measures adhered to local cultural practices to optimize potential productivity.</p></sec><sec id="sec004" disp-level="2"><title>2.2 Data acquisition</title><p>For each replication, three rice plants from each cultivar were destructively sampled at the tillering stage, jointing stage, and flowering stage. Utilizing the LI-3100 (LI-COR, LI-3000C, USA) leaf area instrument, the leaf area of each leaf was measured for all plant samples. Subsequently, the average LAI of each cultivar was computed, considering the planting density. Furthermore, daily meteorological data were obtained from the meteorological information center of the State Meteorological Administration of China.</p></sec><sec id="sec005" disp-level="2"><title>2.3 Spatial topology structure of rice plant</title><p>The rice plant comprises a main stem and several tillers. The main stem is made up of nodes and internodes, the leaves are opposite and grow on nodes through leaf sheaths. The panicle, on the other hand, emerges from the panicle neck node. If the nodes, internodes, leaves, and sheaths that grow on a single node are considered as a leaf growth unit, the main stem can be divided into several structurally similar but differently sized units, including the leaf growth unit, panicle unit, and root unit (as depicted in <xref rid="pone.0309052.g002" ref-type="fig">Fig 2</xref>). The tillers share a similar structure with the main stem, but they form a specific angle with the main stem.</p><fig id="pone.0309052.g002" position="float"><?disp-level 3?><label>Fig 2</label><caption><title>Basic structure of main stem in rice plant.</title></caption><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="image" xlink:href="pone.0309052.g002.jpg"><?cloudpmc-path blobs/bf48/11581221/79f924fbbd91/pone.0309052.g002.jpg?><?cloudpmc-bucket cdn?><?image-server-status LOAD_COMPLETED?><?original-height 1025?><?original-width 1500?><?scaled-height 513?><?scaled-width 750?></graphic><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="thumb" xlink:href="pone.0309052.g002.gif"><?cloudpmc-path blobs/bf48/11581221/dea4720f9949/pone.0309052.g002.gif?><?cloudpmc-bucket cdn?></graphic></alternatives></fig></sec><sec id="sec006" disp-level="2"><title>2.4 Synchronous relationships of organs among above-ground parts of rice plant</title><p>According to the research findings [<xref rid="pone.0309052.ref042" ref-type="bibr">42</xref>], when the <italic>n</italic><sup>th</sup> leaf emerges on the main stem, the <italic>n</italic><sup>th</sup> leaf sheath and the (<italic>n+</italic>1)<sup>th</sup> leaf undergo elongation, while the internodes between the (<italic>n-</italic>1)<sup>th</sup> and (<italic>n-</italic>2)<sup>th</sup> leaves also elongate. At jointing stage, the lower leaf internodes generally remain stationary, and begin to elongate after jointing stage. For the rice cultivar with <italic>LN</italic> leaves and <italic>m</italic> elongated internodes on main stem, the time of jointing stage accurately determined using the equation:
</p><disp-formula id="pone.0309052.e001"><label>(1)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1" display="block" overflow="scroll"><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mi mathvariant="normal">h</mml:mi><mml:mi mathvariant="normal">y</mml:mi><mml:mi mathvariant="normal">s</mml:mi><mml:mi mathvariant="normal">i</mml:mi><mml:mi mathvariant="normal">o</mml:mi><mml:mi mathvariant="normal">l</mml:mi><mml:mi mathvariant="normal">o</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mi mathvariant="normal">i</mml:mi><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">l</mml:mi><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">j</mml:mi><mml:mi mathvariant="normal">o</mml:mi><mml:mi mathvariant="normal">i</mml:mi><mml:mi mathvariant="normal">n</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mi mathvariant="normal">i</mml:mi><mml:mi mathvariant="normal">n</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">s</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mi mathvariant="normal">e</mml:mi><mml:mo>=</mml:mo><mml:mi>m</mml:mi><mml:mi>‐</mml:mi><mml:mn>2</mml:mn><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">r</mml:mi><mml:mi mathvariant="normal">e</mml:mi><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">i</mml:mi><mml:mi mathvariant="normal">p</mml:mi><mml:mi mathvariant="normal">r</mml:mi><mml:mi mathvariant="normal">o</mml:mi><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">l</mml:mi><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">l</mml:mi><mml:mi mathvariant="normal">e</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">f</mml:mi><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mi mathvariant="normal">e</mml:mi><mml:mo>=</mml:mo><mml:mi>L</mml:mi><mml:mi>N</mml:mi><mml:mi>‐</mml:mi><mml:mi>m</mml:mi><mml:mo>+</mml:mo><mml:mn>3</mml:mn><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">l</mml:mi><mml:mi mathvariant="normal">e</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">f</mml:mi><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:mrow></mml:math></disp-formula><p>When the <italic>n</italic><sup>th</sup> leaf on the main stem starts to appear, the first leaf on tillers at (<italic>n-</italic>3)<sup>th</sup> leaf position and the second leaf on tillers at (<italic>n</italic>-4)<sup>th</sup> leaf position also appear at the same time [<xref rid="pone.0309052.ref043" ref-type="bibr">43</xref>].</p><p>When the uppermost internode on the stem starts to elongate, the panicle emerges from the leaf sheath of the flag leaf, a process known as heading. Heading spans approximately 5 days, commencing with the emergence of the top panicle and culminating with the emergence of the uppermost internode. Subsequently, it takes around 7 to 9 days for the uppermost internode to reach its fixed length, an interval that roughly corresponds to the duration of a leaf cycle. Therefore, the emergence, fixed length time of each leaf, leaf sheath and rice panicle at different leaf positions on the main stem or tiller, as well as the elongation and fixed length time of each internode can be calculated by the method of Jiang et al. [<xref rid="pone.0309052.ref043" ref-type="bibr">43</xref>].</p></sec><sec id="sec007" disp-level="2"><title>2.5 Synchronous relationships between above-ground part and root system</title><p>Previous research conducted by Chang et al. [<xref rid="pone.0309052.ref044" ref-type="bibr">44</xref>], and Hu and Ding [<xref rid="pone.0309052.ref042" ref-type="bibr">42</xref>], coupled with experimental observations, reveal that the timing of root emergence in rice plant follows specific patterns. Specifically, adventitious roots first appear on the coleoptile segment upon the emergence of the first leaf on the main stem. Subsequently, as the second leaf emerges, approximately five adventitious roots grow out on the coleoptile segment. Then, with the emergence of the third leaf, roots on the incomplete leaf segment become visible. Notably, when the (<italic>n</italic>+3)<sup>th</sup> leaf emerges on the main stem, both the (<italic>n</italic>+2)<sup>th</sup> leaf sheath and the root on the <italic>n</italic><sup>th</sup> leaf segment commence elongation. These observations indicate the existence of a precise synchronicity between the roots and leaves of the main stem. Therefore, the initial elongation time of adventitious roots on the <italic>i</italic><sup>th</sup> root segment can be accurately determined by referencing the emergence time of the corresponding leaves on the main stem, as outlined by Jiang et al. [<xref rid="pone.0309052.ref043" ref-type="bibr">43</xref>].</p><p>The growth of root branch is late for one leaf cycle behind root [<xref rid="pone.0309052.ref045" ref-type="bibr">45</xref>], when the <italic>n</italic><sup>th</sup> leaf emergence, the (<italic>n-</italic>3)<sup>th</sup> leaf segment root begins to grow out, (<italic>n</italic>-4)<sup>th</sup> leaf segment root is branched once, and the (<italic>n</italic>-5<italic>)</italic><sup>th</sup> leaf segment root is branched twice. Therefore, the initial occurrence time of branching roots at different levels can be also calculated [<xref rid="pone.0309052.ref043" ref-type="bibr">43</xref>]. The number of root nodes of the main stem and tiller stems of rice plant can be obtained according to the total number of leaves on the main stem and the number of elongation internodes in a certain rice variety [<xref rid="pone.0309052.ref046" ref-type="bibr">46</xref>].</p></sec><sec id="sec008" disp-level="2"><title>2.6 The application of virtual rice on plant phenotype</title><p>LAI serves as a crucial indicator of rice phenotype in variety breeding and yield prediction. Through real-time monitoring and predicting of rice LAI, we can know the growth of rice and provide scientific basis for rice production and management. In this study, we use a method of segmenting leaf based on the virtual rice model to forecast the LAI for two rice cultivars at different growth stages, the steps are summarized as follows:</p><p><bold>Step 1:</bold> Through our previous studies [<xref rid="pone.0309052.ref026" ref-type="bibr">26</xref>], we established a method to determine the axis length and leaf width of any point on the leaf veins for each rice leaf, described by Eqs (<xref rid="pone.0309052.e002" ref-type="disp-formula">2</xref>) and (<xref rid="pone.0309052.e003" ref-type="disp-formula">3</xref>), respectively.</p><disp-formula id="pone.0309052.e002"><label>(2)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2" display="block" overflow="scroll"><mml:mi>L</mml:mi><mml:mi>L</mml:mi><mml:mi>n</mml:mi><mml:mo>(</mml:mo><mml:mrow><mml:mi>G</mml:mi><mml:mi>D</mml:mi><mml:mi>D</mml:mi></mml:mrow><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mi>L</mml:mi><mml:mi>L</mml:mi><mml:mi>n</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo>+</mml:mo><mml:mi>L</mml:mi><mml:mi>a</mml:mi><mml:mo>×</mml:mo><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mfrac><mml:mrow><mml:mo>−</mml:mo><mml:mi>L</mml:mi><mml:mi>b</mml:mi><mml:mo>×</mml:mo><mml:mo>(</mml:mo><mml:mrow><mml:mi>G</mml:mi><mml:mi>D</mml:mi><mml:mi>D</mml:mi><mml:mo>−</mml:mo><mml:msub><mml:mrow><mml:mi>I</mml:mi><mml:mi>G</mml:mi><mml:mi>D</mml:mi><mml:mi>D</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>G</mml:mi><mml:mi>D</mml:mi><mml:mi>D</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mrow></mml:msup></mml:mrow></mml:mfrac><mml:mo>×</mml:mo><mml:mi>m</mml:mi><mml:mi>i</mml:mi><mml:mi>n</mml:mi><mml:mo>(</mml:mo><mml:mi>F</mml:mi><mml:mi>N</mml:mi><mml:mo>,</mml:mo><mml:mi>F</mml:mi><mml:mi>W</mml:mi><mml:mo>)</mml:mo></mml:math></disp-formula><p>Where, <italic>LL</italic>n (GDD) represents the length of leaf <italic>n</italic> on the main stem at a specific GDD time. <italic>LL</italic>n denotes the final length of leaf <italic>n</italic>. <italic>IGDD</italic>n is the initial GDD of leaf <italic>n</italic>.</p><p>△<italic>GDD</italic>n is the cumulative GDD required for the development and growth of leaf <italic>n</italic>. <italic>FN</italic> and <italic>FW</italic> are nitrogen factor and water factor, respectively. The detailed computations of the aforementioned parameters are outlined in prior research [<xref rid="pone.0309052.ref026" ref-type="bibr">26</xref>], which also delves into the length dynamics of leaves found on tillers. The coefficients La and Lb are assigned values of 8.65 and 6.26, respectively.</p><disp-formula id="pone.0309052.e003"><label>(3)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M3" display="block" overflow="scroll"><mml:mi>L</mml:mi><mml:mi>W</mml:mi><mml:mi>i</mml:mi><mml:mi>d</mml:mi><mml:mi>n</mml:mi><mml:mo>(</mml:mo><mml:mrow><mml:mi>L</mml:mi><mml:mi>L</mml:mi><mml:mi>e</mml:mi><mml:mi>n</mml:mi></mml:mrow><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mrow><mml:mo>{</mml:mo><mml:mtable><mml:mtr><mml:mtd><mml:mrow><mml:mi>P</mml:mi><mml:mo>×</mml:mo><mml:msup><mml:mrow><mml:mi>L</mml:mi><mml:mi>L</mml:mi><mml:mi>e</mml:mi><mml:mi>n</mml:mi></mml:mrow><mml:mrow><mml:mi>W</mml:mi><mml:mi>L</mml:mi><mml:mi>R</mml:mi></mml:mrow></mml:msup><mml:mo>,</mml:mo><mml:mspace width="0.50em"/><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mspace width="0.50em"/><mml:mi>L</mml:mi><mml:mi>N</mml:mi><mml:mo>;</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mi>W</mml:mi><mml:mi>P</mml:mi><mml:mi>d</mml:mi><mml:mo>×</mml:mo><mml:msup><mml:mrow><mml:mi>L</mml:mi><mml:mi>L</mml:mi><mml:mi>e</mml:mi><mml:mi>n</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mo>+</mml:mo><mml:mi>W</mml:mi><mml:mi>P</mml:mi><mml:mi>e</mml:mi><mml:mo>×</mml:mo><mml:mi>L</mml:mi><mml:mi>L</mml:mi><mml:mi>e</mml:mi><mml:mi>n</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.50em"/><mml:mn>2</mml:mn><mml:mo>≤</mml:mo><mml:mi>n</mml:mi><mml:mo>≤</mml:mo><mml:mi>L</mml:mi><mml:mi>N</mml:mi><mml:mo>−</mml:mo><mml:mn>1</mml:mn><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:math></disp-formula><p>Here, <italic>LWid</italic>n (<italic>LLen</italic>) denotes the leaf width of leaf <italic>n</italic>, where the leaf length is <italic>LLen</italic>. <italic>LN</italic>, serving as a cultivar parameter, represents the ultimate count of leaves present on main stem. <italic>P</italic>, <italic>WLR</italic>, <italic>WPd</italic>, and <italic>WPe</italic> are equation coefficients. These parameters and coefficients were calculated by Zhu et al. [<xref rid="pone.0309052.ref026" ref-type="bibr">26</xref>].</p><p>As depicted in <xref rid="pone.0309052.g003" ref-type="fig">Fig 3</xref>, each leaf can be segmented into <italic>sn</italic> segmentations with <italic>sn</italic>-1 line segments perpendicular to the leaf vein, each segmentation is composed of two symmetrical trapeziums. The area of each trapezium can be calculated using a specific Eq (<xref rid="pone.0309052.e004" ref-type="disp-formula">4</xref>), and the large <italic>sn</italic> can allow us to quantify the overall leaf area with precision according to the principles of calculus.</p><fig id="pone.0309052.g003" position="float"><?disp-level 3?><label>Fig 3</label><caption><title>Structure diagram of rice leaf segmentation.</title></caption><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="image" xlink:href="pone.0309052.g003.jpg"><?cloudpmc-path blobs/bf48/11581221/aec482414cbe/pone.0309052.g003.jpg?><?cloudpmc-bucket cdn?><?image-server-status LOAD_COMPLETED?><?original-height 309?><?original-width 1500?><?scaled-height 155?><?scaled-width 750?></graphic><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="thumb" xlink:href="pone.0309052.g003.gif"><?cloudpmc-path blobs/bf48/11581221/57bd8fd19729/pone.0309052.g003.gif?><?cloudpmc-bucket cdn?></graphic></alternatives></fig><disp-formula id="pone.0309052.e004"><label>(4)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M4" display="block" overflow="scroll"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mo>|</mml:mo><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:msub><mml:mi>B</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mo>|</mml:mo><mml:mo>+</mml:mo><mml:mo>|</mml:mo><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:msub><mml:mi>D</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mo>|</mml:mo><mml:mo stretchy="false">)</mml:mo><mml:mo>×</mml:mo><mml:mo>|</mml:mo><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:msub><mml:mi>C</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mo>|</mml:mo></mml:mrow><mml:mn>2</mml:mn></mml:mfrac></mml:mrow></mml:math></disp-formula><p>Thus, the leaf area can be calculated by Eq (<xref rid="pone.0309052.e005" ref-type="disp-formula">5</xref>),
</p><disp-formula id="pone.0309052.e005"><label>(5)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M5" display="block" overflow="scroll"><mml:mrow><mml:mi>S</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn><mml:mo>×</mml:mo><mml:mstyle displaystyle="true"><mml:munderover><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mrow><mml:mi>s</mml:mi><mml:mi>p</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:munderover><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mstyle></mml:mrow></mml:math></disp-formula><p>Where, <italic>S</italic> is the area of a rice leaf, <italic>S</italic><sub>i</sub> is the area of the <italic>i</italic><sup>th</sup> segmentation in each half leaf. <italic>N</italic><sub><italic>sp</italic></sub> is the number of segmentations in each leaf (<xref rid="pone.0309052.g003" ref-type="fig">Fig 3</xref>).</p><p><bold>Step 2:</bold> Geometry morphology and leaf area of each leaf on rice tillers can be calculated according to the synchronous relationships [<xref rid="pone.0309052.ref047" ref-type="bibr">47</xref>]. Tillers number is simulated by the Eqs (<xref rid="pone.0309052.e006" ref-type="disp-formula">6</xref>) and (<xref rid="pone.0309052.e007" ref-type="disp-formula">7</xref>), which is a dynamic model of tiller number [<xref rid="pone.0309052.ref048" ref-type="bibr">48</xref>], then we can calculate the total area for all leaves in the single plant.</p><disp-formula id="pone.0309052.e006"><label>(6)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M6" display="block" overflow="scroll"><mml:mrow><mml:mi mathvariant="normal">A</mml:mi><mml:mi mathvariant="normal">P</mml:mi><mml:mi mathvariant="normal">P</mml:mi><mml:mi mathvariant="normal">S</mml:mi><mml:mi mathvariant="normal">T</mml:mi><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi mathvariant="normal">A</mml:mi><mml:mi mathvariant="normal">P</mml:mi><mml:mi mathvariant="normal">P</mml:mi><mml:mi mathvariant="normal">S</mml:mi><mml:mi mathvariant="normal">T</mml:mi><mml:mspace width="0.25em"/><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mrow><mml:mi mathvariant="normal">i</mml:mi><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">A</mml:mi><mml:mi mathvariant="normal">P</mml:mi><mml:mi mathvariant="normal">P</mml:mi><mml:mi mathvariant="normal">S</mml:mi><mml:mi mathvariant="normal">T</mml:mi><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></disp-formula><disp-formula id="pone.0309052.e007"><label>(7)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M7" display="block" overflow="scroll"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">A</mml:mi><mml:mi mathvariant="normal">P</mml:mi><mml:mi mathvariant="normal">P</mml:mi><mml:mi mathvariant="normal">S</mml:mi><mml:mi mathvariant="normal">T</mml:mi><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="normal">T</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">P</mml:mi><mml:mi mathvariant="normal">P</mml:mi><mml:mi mathvariant="normal">S</mml:mi><mml:mi mathvariant="normal">T</mml:mi><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:mi mathvariant="normal">F</mml:mi><mml:mi mathvariant="normal">L</mml:mi><mml:mo>×</mml:mo><mml:mi mathvariant="normal">m</mml:mi><mml:mi mathvariant="normal">i</mml:mi><mml:mi mathvariant="normal">n</mml:mi><mml:mo>(</mml:mo><mml:mrow><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">F</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">W</mml:mi><mml:mi mathvariant="normal">D</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></disp-formula><p>Where APPSTN<sub>i</sub> and ΔAPPSTN<sub>i</sub> are the actual number and the actual increase of tillers for rice plant on the <italic>i</italic><sup>th</sup> day after rice emergence, respectively. T<sub>v</sub> is the coefficient of tillering power for rice variety. FL, NF and WDF are different influence factors. These coefficient and factors were calculated by Meng [<xref rid="pone.0309052.ref048" ref-type="bibr">48</xref>].</p><p><bold>Step 3:</bold> The total leaf area can be obtained by the step 1 and step 2, then we can calculate LAI (total leaf area/land area) with GDD according to the planting density.</p></sec><sec id="sec009" disp-level="2"><title>2.7 The evaluation criteria</title><p>The differences between the simulated and measured values are assessed using the relative error (RE), calculated via Eq (<xref rid="pone.0309052.e008" ref-type="disp-formula">8</xref>), along with the root mean square error (RMSE), mean absolute error (MAE), and the coefficient of determination (R<sup>2</sup>), as outlined by Zhang et al. [<xref rid="pone.0309052.ref049" ref-type="bibr">49</xref>].
</p><disp-formula id="pone.0309052.e008"><label>(8)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M8" display="block" overflow="scroll"><mml:mi>R</mml:mi><mml:mi>E</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mn>100</mml:mn><mml:mo>×</mml:mo><mml:mo>|</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>−</mml:mo><mml:msub><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>|</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac><mml:mi mathvariant="normal">%</mml:mi></mml:math></disp-formula><p>
where <italic>O</italic><sub>i</sub> and <italic>S</italic><sub>i</sub> are the observed value and the simulated value, respectively.</p></sec></sec><sec id="sec010" disp-level="1"><title>3 Results</title><p>The visualizations of both above-ground parts and root system in rice plant are primarily achieved through synchronization and topological relationships among the organs of each respective system. The visualization of rice individual is intricately linked with the synchronization relationship between the above-ground part and the root system. Moreover, rice populations are primarily comprised of individual plants that exhibit certain variations. Consequently, the visualization of plant populations goes beyond merely replicating individual plants, it necessitates the expression of these individual differences. This can be effectively realized through the employment of differentiated approaches.</p><sec id="sec011" disp-level="2"><title>3.1 The visualization of above-ground part of rice plant</title><p>The main stem of rice is divided into several growth units consisting of nodes, internodes and leaves, and rice panicle. Our simulations have captured the changes in geometric morphology of above-ground organs on main stem, as they occur with increasing GDD [<xref rid="pone.0309052.ref024" ref-type="bibr">24</xref>, <xref rid="pone.0309052.ref026" ref-type="bibr">26</xref>]. Additionally, we have simulated spatial morphology features of leaf curves, panicle curves, and the angle between leaf and sheath on main stem [<xref rid="pone.0309052.ref027" ref-type="bibr">27</xref>–<xref rid="pone.0309052.ref029" ref-type="bibr">29</xref>]. The rice panicle, with its intricate structure, comprises primary branches, secondary branches, spikelets, and the panicle axis. Zhang et al. [<xref rid="pone.0309052.ref029" ref-type="bibr">29</xref>] provided a detailed description of its morphological construction and 3D dynamic visualization.</p><p>The number of growth units on tillers can be determined by leveraging the synchronization relationship between tillers and the main stem. The geometric morphology of organs within the growth unit of tillers at various GDD can be derived using the quantitative relationship established between tillers and the main stem [<xref rid="pone.0309052.ref047" ref-type="bibr">47</xref>]. Additionally, the spatial morphological parameters and color rendering are simulated based on the models employed for the main stem. The angle formed between the tiller and the main stem can be simulated using the method proposed by Watanabe et al. [<xref rid="pone.0309052.ref018" ref-type="bibr">18</xref>]. It’s worth noting that tiller number is influenced by the variety and growing environment, which can be predicted using a rice growth model [<xref rid="pone.0309052.ref048" ref-type="bibr">48</xref>].</p><p>Based on our lab’s extensive research results, including morphology models, organ geometry models [<xref rid="pone.0309052.ref024" ref-type="bibr">24</xref>, <xref rid="pone.0309052.ref026" ref-type="bibr">26</xref>], such as leaf length and width, leaf sheath length and diameter, and internode length and diameter, leaf curve models [<xref rid="pone.0309052.ref027" ref-type="bibr">27</xref>], stem-sheath angle models [<xref rid="pone.0309052.ref028" ref-type="bibr">28</xref>], leaf color models [<xref rid="pone.0309052.ref030" ref-type="bibr">30</xref>], and panicle color and morphology models [<xref rid="pone.0309052.ref029" ref-type="bibr">29</xref>], we have realized 3D dynamic visualization simulations of the above-ground parts of rice varieties YD6 and W14. These simulations capture the morphological changes in the rice plants over GDD time, under various growth conditions. The simulations depicted in Figs <xref rid="pone.0309052.g004" ref-type="fig">4</xref>–<xref rid="pone.0309052.g007" ref-type="fig">7</xref> were achieved using C#. NET and OpenGL techniques, adhering to the intricate rules of rice growth and the topological structure of its above-ground components.</p><fig id="pone.0309052.g004" position="float"><?disp-level 3?><label>Fig 4</label><caption><title>3D visualization of above-ground part in YD6 under low nitrogen level at different growth days.</title></caption><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="image" xlink:href="pone.0309052.g004.jpg"><?cloudpmc-path blobs/bf48/11581221/3a5e6951502e/pone.0309052.g004.jpg?><?cloudpmc-bucket cdn?><?image-server-status LOAD_COMPLETED?><?original-height 863?><?original-width 2076?><?scaled-height 288?><?scaled-width 692?></graphic><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="thumb" xlink:href="pone.0309052.g004.gif"><?cloudpmc-path blobs/bf48/11581221/8005ea4241e1/pone.0309052.g004.gif?><?cloudpmc-bucket cdn?></graphic></alternatives></fig><fig id="pone.0309052.g007" position="float"><?disp-level 3?><label>Fig 7</label><caption><title>3D visualizations of above-ground part in W14 under normal nitrogen level at different growth days.</title></caption><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="image" xlink:href="pone.0309052.g007.jpg"><?cloudpmc-path blobs/bf48/11581221/39d227cdb113/pone.0309052.g007.jpg?><?cloudpmc-bucket cdn?><?image-server-status LOAD_COMPLETED?><?original-height 907?><?original-width 2031?><?scaled-height 302?><?scaled-width 677?></graphic><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="thumb" xlink:href="pone.0309052.g007.gif"><?cloudpmc-path blobs/bf48/11581221/8d9ab109afc4/pone.0309052.g007.gif?><?cloudpmc-bucket cdn?></graphic></alternatives></fig><fig id="pone.0309052.g005" position="float"><?disp-level 3?><label>Fig 5</label><caption><title>3D visualization of above-ground part in YD6 under normal nitrogen level at different growth days.</title></caption><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="image" xlink:href="pone.0309052.g005.jpg"><?cloudpmc-path blobs/bf48/11581221/0f20f53e0192/pone.0309052.g005.jpg?><?cloudpmc-bucket cdn?><?image-server-status LOAD_COMPLETED?><?original-height 822?><?original-width 2087?><?scaled-height 274?><?scaled-width 695?></graphic><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="thumb" xlink:href="pone.0309052.g005.gif"><?cloudpmc-path blobs/bf48/11581221/54a91c3750b6/pone.0309052.g005.gif?><?cloudpmc-bucket cdn?></graphic></alternatives></fig><fig id="pone.0309052.g006" position="float"><?disp-level 3?><label>Fig 6</label><caption><title>3D visualizations of above-ground part in W14 under low nitrogen level at different growth days.</title></caption><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="image" xlink:href="pone.0309052.g006.jpg"><?cloudpmc-path blobs/bf48/11581221/fe5ffba1b052/pone.0309052.g006.jpg?><?cloudpmc-bucket cdn?><?image-server-status LOAD_COMPLETED?><?original-height 909?><?original-width 1825?><?scaled-height 364?><?scaled-width 730?></graphic><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="thumb" xlink:href="pone.0309052.g006.gif"><?cloudpmc-path blobs/bf48/11581221/ce489e4278d2/pone.0309052.g006.gif?><?cloudpmc-bucket cdn?></graphic></alternatives></fig><p>The visualization results effectively capture the variations in morphological indices among rice plants grown under different varieties and nitrogen treatments. Notably, there are obvious morphological differences between the two plant types of W14 and YD6, as well as among crops of the same variety grown under different nitrogen application levels (Figs <xref rid="pone.0309052.g004" ref-type="fig">4</xref>–<xref rid="pone.0309052.g007" ref-type="fig">7</xref>). These results can provide a comprehensive and intuitive understanding of the impact of these factors on rice growth.</p></sec><sec id="sec012" disp-level="2"><title>3.2 The visualizations of root system</title><p>The rice root system exhibits a whisker structure, encompassing both seed roots and adventitious roots. The seed root, originating from the radicle, is unique in its emergence. As the leaves develop, adventitious roots gradually differentiate, emerging from the base upwards along the root nodes. Primary branching roots sprout from these adventitious roots, while secondary branching roots arise from the primary ones. Notably, under conditions favoring high yields, rice roots exhibit a greater propensity for branching, as observed by Xu et al. [<xref rid="pone.0309052.ref014" ref-type="bibr">14</xref>]. Drawing upon the previous studies and experimental data pertaining to rice root morphology of our lab [<xref rid="pone.0309052.ref014" ref-type="bibr">14</xref>, <xref rid="pone.0309052.ref050" ref-type="bibr">50</xref>, <xref rid="pone.0309052.ref051" ref-type="bibr">51</xref>], 3D dynamic simulation of rice roots is achieved combined with the topological structure of rice roots through graphics rendering technique. The results demonstrate excellent dynamic predictions of the rice root system (Figs <xref rid="pone.0309052.g008" ref-type="fig">8</xref>, <xref rid="pone.0309052.g009" ref-type="fig">9</xref>).</p><fig id="pone.0309052.g008" position="float"><?disp-level 3?><label>Fig 8</label><caption><title>3D visualizations of root system in YD6 at different days after sowing under normal water and nitrogen conditions in rice plant.</title></caption><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="image" xlink:href="pone.0309052.g008.jpg"><?cloudpmc-path blobs/bf48/11581221/87a874e2c542/pone.0309052.g008.jpg?><?cloudpmc-bucket cdn?><?image-server-status LOAD_COMPLETED?><?original-height 450?><?original-width 2014?><?scaled-height 150?><?scaled-width 671?></graphic><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="thumb" xlink:href="pone.0309052.g008.gif"><?cloudpmc-path blobs/bf48/11581221/bce6a7a8e0d8/pone.0309052.g008.gif?><?cloudpmc-bucket cdn?></graphic></alternatives></fig><fig id="pone.0309052.g009" position="float"><?disp-level 3?><label>Fig 9</label><caption><title>3D visualizations of root system in W14 under normal water and different nitrogen conditions at 40 days after sowing in rice plant.</title></caption><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="image" xlink:href="pone.0309052.g009.jpg"><?cloudpmc-path blobs/bf48/11581221/5bd5957235c2/pone.0309052.g009.jpg?><?cloudpmc-bucket cdn?><?image-server-status LOAD_COMPLETED?><?original-height 382?><?original-width 1705?><?scaled-height 153?><?scaled-width 682?></graphic><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="thumb" xlink:href="pone.0309052.g009.gif"><?cloudpmc-path blobs/bf48/11581221/1193aa74a90c/pone.0309052.g009.gif?><?cloudpmc-bucket cdn?></graphic></alternatives></fig></sec><sec id="sec013" disp-level="2"><title>3.3 The visualization of the whole rice plant</title><p>Rice plant comprises both an above-ground part and a root system. Leveraging the visualization results for both components, and a synchronization relationship between them, we achieve 3D dynamic visualizations of the entire rice plant over GDD using programming techniques (<xref rid="pone.0309052.g010" ref-type="fig">Fig 10</xref>). The simulation outcomes are highly realistic, and the simulation processes closely adhere to the laws governing the growth and development of rice plants. This includes the sequential appearance, expansion, maintenance, and eventual demise of rice organs. These findings demonstrate that our method effectively predicts changes in the geometric shape, spatial morphology, and spatial topological structure of rice plants throughout their lifecycle.</p><fig id="pone.0309052.g010" position="float"><?disp-level 3?><label>Fig 10</label><caption><title>3D visualizations of the whole rice plant in YD6 at different growth stages under normal nitrogen level.</title></caption><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="image" xlink:href="pone.0309052.g010.jpg"><?cloudpmc-path blobs/bf48/11581221/63969d33cc6f/pone.0309052.g010.jpg?><?cloudpmc-bucket cdn?><?image-server-status LOAD_COMPLETED?><?original-height 1052?><?original-width 1822?><?scaled-height 420?><?scaled-width 728?></graphic><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="thumb" xlink:href="pone.0309052.g010.gif"><?cloudpmc-path blobs/bf48/11581221/079d46acb727/pone.0309052.g010.gif?><?cloudpmc-bucket cdn?></graphic></alternatives></fig></sec><sec id="sec014" disp-level="2"><title>3.4 The visualization of rice plant populations</title><p>Rice populations are comprised of diverse plant individuals, each exhibiting unique structural and morphological differences. As such, the visualization of rice populations goes beyond mere replication of individual plants, it aims to comprehensively capture these individual differences. The distinctions between rice plants of the same or different varieties grown under identical or varying conditions, are primarily manifested in structural and morphological parameters, which can be extracted from the rice growth model [<xref rid="pone.0309052.ref048" ref-type="bibr">48</xref>] and morphology model [<xref rid="pone.0309052.ref024" ref-type="bibr">24</xref>, <xref rid="pone.0309052.ref026" ref-type="bibr">26</xref>–<xref rid="pone.0309052.ref029" ref-type="bibr">29</xref>], respectively. Additionally, even within the same variety and growth conditions, the size (or number) of identical organs and the angles between organs at the same location can vary randomly within a specified range [<italic>M-d</italic>, <italic>M+d</italic>], where <italic>M</italic> represents the average size (or number) of the organs, and <italic>d</italic> signifies the standard deviation. To further enhance the diversity among rice individuals, we employ random rotation angles for plant organs and individuals, as well as random allocation of tiller numbers.</p><p>To improve the visualization efficiency, we utilize a grid model simplification technique that effectively reduces the number of faces, edges, and vertices of the model while maintaining its original geometric characteristics [<xref rid="pone.0309052.ref052" ref-type="bibr">52</xref>]. This approach is applied based on the distance between rice individuals and the viewpoint within the drawing scene. Furthermore, we employ LOD (Level of Detail) models with varying resolutions for plant individuals situated at different distances from the viewpoint, thereby optimizing the rendering efficiency of large populations.</p><p>In scenarios involving a large population of rice plants, the display list technology can be employed to replicate a group of individuals exhibiting variations according to the situation of individual scale. This allows for the entire group to be randomly rotated and scaled in or out, creating a distinct difference from the original set of rice individuals. Utilizing the above rules and visualization techniques, and considering the variety of YD6 as a case under normal growth conditions, we have conducted 3D dynamic visualizations of rice populations (consisting of 5×5 plants) with row and column spacing of 30cm×30cm throughout various growth periods (<xref rid="pone.0309052.g011" ref-type="fig">Fig 11</xref>). The simulation effects are quite impressive when compared to real images of rice populations (<xref rid="pone.0309052.g012" ref-type="fig">Fig 12</xref>).</p><fig id="pone.0309052.g011" position="float"><?disp-level 3?><label>Fig 11</label><caption><title>3D visualizations of plant population of YD6 at different growth stages.</title></caption><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="image" xlink:href="pone.0309052.g011.jpg"><?cloudpmc-path blobs/bf48/11581221/3009a1b9b526/pone.0309052.g011.jpg?><?cloudpmc-bucket cdn?><?image-server-status LOAD_COMPLETED?><?original-height 1257?><?original-width 1840?><?scaled-height 503?><?scaled-width 736?></graphic><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="thumb" xlink:href="pone.0309052.g011.gif"><?cloudpmc-path blobs/bf48/11581221/b0f858c559c3/pone.0309052.g011.gif?><?cloudpmc-bucket cdn?></graphic></alternatives></fig><fig id="pone.0309052.g012" position="float"><?disp-level 3?><label>Fig 12</label><caption><title>Real pictures of population in YD6 at maturity stage.</title></caption><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="image" xlink:href="pone.0309052.g012.jpg"><?cloudpmc-path blobs/bf48/11581221/bee84ba1d8a4/pone.0309052.g012.jpg?><?cloudpmc-bucket cdn?><?image-server-status LOAD_COMPLETED?><?original-height 1024?><?original-width 1500?><?scaled-height 512?><?scaled-width 750?></graphic><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="thumb" xlink:href="pone.0309052.g012.gif"><?cloudpmc-path blobs/bf48/11581221/65c3345aaf19/pone.0309052.g012.gif?><?cloudpmc-bucket cdn?></graphic></alternatives></fig></sec><sec id="sec015" disp-level="2"><title>3.5 The simulation for the LAI of rice plant</title><p>For two rice cultivars, the average measured LAI was recorded at 32 days, 50 days, and 65 days after transplanting, corresponding to the tillering stage, jointing stage, and flowering stage, respectively. Our virtual rice model was then utilized to simulate the LAI for two cultivars at the corresponding growth stages. Comparisons between the measured and simulated LAI, REs ranging from 7.58% to 12.69%, indicating a satisfactory level of accuracy across different segmented granularities of the leaves (<xref rid="pone.0309052.t001" ref-type="table">Table 1</xref>). Furthermore, upon a thorough comparison of all the measured and simulated data, we have determined that the RMSE stands at 0.56, the MAE at 0.55, and the R<sup>2</sup> value is 0.86. These results demonstrate the superior simulation effectiveness of our virtual rice model for predicting rice LAI (<xref rid="pone.0309052.g013" ref-type="fig">Fig 13</xref>).</p><table-wrap id="pone.0309052.t001" position="float"><?disp-level 3?><label>Table 1</label><caption><title>Comparisons between measured and simulated LAI at different growth stages under different segmentation granularity of rice leaf.</title></caption><table frame="hsides" rules="groups"><colgroup span="1"><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/></colgroup><thead><tr><th align="justify" rowspan="1" colspan="1">Cultivar</th><th align="justify" rowspan="1" colspan="1">Growth stage</th><th align="justify" rowspan="1" colspan="1">MLAI</th><th align="justify" rowspan="1" colspan="1">SLAI(<italic>N</italic><sub>sp</sub> = 5)</th><th align="justify" rowspan="1" colspan="1">RE</th><th align="justify" rowspan="1" colspan="1">SLAI (<italic>N</italic><sub>sp</sub> = 10)</th><th align="justify" rowspan="1" colspan="1">RE</th><th align="justify" rowspan="1" colspan="1">SLAI (<italic>N</italic><sub>sp</sub> = 20)</th><th align="justify" rowspan="1" colspan="1">RE</th><th align="justify" rowspan="1" colspan="1">SLAI (<italic>N</italic><sub>sp</sub> = 30)</th><th align="justify" rowspan="1" colspan="1">RE</th></tr></thead><tbody><tr><td align="left" rowspan="3" colspan="1">YD6</td><td align="left" rowspan="1" colspan="1">Tiller stage</td><td align="left" rowspan="1" colspan="1">3.56</td><td align="left" rowspan="1" colspan="1">3.83</td><td align="left" rowspan="1" colspan="1">7.58</td><td align="left" rowspan="1" colspan="1">3.92</td><td align="left" rowspan="1" colspan="1">10.11</td><td align="left" rowspan="1" colspan="1">3.94</td><td align="left" rowspan="1" colspan="1">10.67</td><td align="left" rowspan="1" colspan="1">3.95</td><td align="left" rowspan="1" colspan="1">10.96</td></tr><tr><td align="left" rowspan="1" colspan="1">Jointing stage</td><td align="left" rowspan="1" colspan="1">6.31</td><td align="left" rowspan="1" colspan="1">6.88</td><td align="left" rowspan="1" colspan="1">9.09</td><td align="left" rowspan="1" colspan="1">6.95</td><td align="left" rowspan="1" colspan="1">10.14</td><td align="left" rowspan="1" colspan="1">6.97</td><td align="left" rowspan="1" colspan="1">10.46</td><td align="left" rowspan="1" colspan="1">6.98</td><td align="left" rowspan="1" colspan="1">10.62</td></tr><tr><td align="left" rowspan="1" colspan="1">Flower stage</td><td align="left" rowspan="1" colspan="1">7.15</td><td align="left" rowspan="1" colspan="1">7.73</td><td align="left" rowspan="1" colspan="1">8.11</td><td align="left" rowspan="1" colspan="1">7.79</td><td align="left" rowspan="1" colspan="1">8.95</td><td align="left" rowspan="1" colspan="1">7.82</td><td align="left" rowspan="1" colspan="1">9.37</td><td align="left" rowspan="1" colspan="1">7.83</td><td align="left" rowspan="1" colspan="1">9.51</td></tr><tr><td align="left" rowspan="3" colspan="1">W14</td><td align="left" rowspan="1" colspan="1">Tiller stage</td><td align="left" rowspan="1" colspan="1">3.23</td><td align="left" rowspan="1" colspan="1">3.53</td><td align="left" rowspan="1" colspan="1">9.29</td><td align="left" rowspan="1" colspan="1">3.61</td><td align="left" rowspan="1" colspan="1">11.76</td><td align="left" rowspan="1" colspan="1">3.63</td><td align="left" rowspan="1" colspan="1">12.38</td><td align="left" rowspan="1" colspan="1">3.64</td><td align="left" rowspan="1" colspan="1">12.69</td></tr><tr><td align="left" rowspan="1" colspan="1">Jointing stage</td><td align="left" rowspan="1" colspan="1">5.87</td><td align="left" rowspan="1" colspan="1">6.41</td><td align="left" rowspan="1" colspan="1">9.20</td><td align="left" rowspan="1" colspan="1">6.51</td><td align="left" rowspan="1" colspan="1">10.90</td><td align="left" rowspan="1" colspan="1">6.54</td><td align="left" rowspan="1" colspan="1">11.41</td><td align="left" rowspan="1" colspan="1">6.55</td><td align="left" rowspan="1" colspan="1">11.58</td></tr><tr><td align="left" rowspan="1" colspan="1">Flower stage</td><td align="left" rowspan="1" colspan="1">6.79</td><td align="left" rowspan="1" colspan="1">7.32</td><td align="left" rowspan="1" colspan="1">7.81</td><td align="left" rowspan="1" colspan="1">7.43</td><td align="left" rowspan="1" colspan="1">9.43</td><td align="left" rowspan="1" colspan="1">7.48</td><td align="left" rowspan="1" colspan="1">10.16</td><td align="left" rowspan="1" colspan="1">7.50</td><td align="left" rowspan="1" colspan="1">10.46</td></tr></tbody></table><table-wrap-foot><fn id="t001fn001"><p>Where MLAI and SLAI are the measured and simulated LAI, respectively. <italic>N</italic><sub>sp</sub> is the number of segmentations of each leaf (<xref rid="pone.0309052.g003" ref-type="fig">Fig 3</xref>). RE denotes the relative error.</p></fn></table-wrap-foot></table-wrap><fig id="pone.0309052.g013" position="float"><?disp-level 3?><label>Fig 13</label><caption><title>Comparisons between all measured and simulated LAI.</title><p><italic>N</italic><sub>sp</sub> is the number of splits of each leaf (<xref rid="pone.0309052.g003" ref-type="fig">Fig 3</xref>).</p></caption><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="image" xlink:href="pone.0309052.g013.jpg"><?cloudpmc-path blobs/bf48/11581221/67866d6de765/pone.0309052.g013.jpg?><?cloudpmc-bucket cdn?><?image-server-status LOAD_COMPLETED?><?original-height 1413?><?original-width 1500?><?scaled-height 707?><?scaled-width 750?></graphic><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="thumb" xlink:href="pone.0309052.g013.gif"><?cloudpmc-path blobs/bf48/11581221/7dbc27db40ff/pone.0309052.g013.gif?><?cloudpmc-bucket cdn?></graphic></alternatives></fig></sec></sec><sec id="sec016" disp-level="1"><title>4 Discussion</title><p>In previous studies [<xref rid="pone.0309052.ref018" ref-type="bibr">18</xref>, <xref rid="pone.0309052.ref021" ref-type="bibr">21</xref>, <xref rid="pone.0309052.ref025" ref-type="bibr">25</xref>, <xref rid="pone.0309052.ref049" ref-type="bibr">49</xref>], the visualization simulations of the above-ground parts of rice plants were neither comprehensive nor meticulous. Most of these studies primarily focused on morphological modeling of the fully expanded leaves of rice plants, while neglecting the unexpanded blades. For this reason, we employed a spatial helical surface in conjunction with a leaf shape model [<xref rid="pone.0309052.ref026" ref-type="bibr">26</xref>] to simulate the dynamic morphology of unexpanded rice leaves, thereby improving the realism and accuracy of our simulations [<xref rid="pone.0309052.ref027" ref-type="bibr">27</xref>]. Meanwhile, Drawing upon our RGB models for leaf color [<xref rid="pone.0309052.ref030" ref-type="bibr">30</xref>] and panicle color [<xref rid="pone.0309052.ref029" ref-type="bibr">29</xref>], we can compute RGB values for various positions on the leaf or panicle. This approach enables us to capture the color variations over time and space. Furthermore, our models for the angle between stem and sheath [<xref rid="pone.0309052.ref028" ref-type="bibr">28</xref>], leaf curve [<xref rid="pone.0309052.ref027" ref-type="bibr">27</xref>], panicle curve [<xref rid="pone.0309052.ref029" ref-type="bibr">29</xref>], and panicle morphology [<xref rid="pone.0309052.ref029" ref-type="bibr">29</xref>] are utilized to enhance and refine the morphological modeling and 3D visualization of rice plant, The visualization effects are significantly more natural and realistic compared to previous studies [<xref rid="pone.0309052.ref018" ref-type="bibr">18</xref>, <xref rid="pone.0309052.ref021" ref-type="bibr">21</xref>, <xref rid="pone.0309052.ref025" ref-type="bibr">25</xref>] (Figs <xref rid="pone.0309052.g004" ref-type="fig">4</xref>–<xref rid="pone.0309052.g007" ref-type="fig">7</xref>).</p><p>The above-ground part and root system constitute an integral, interconnected unit in rice plant. However, most previous efforts have primarily concentrated on the above-ground components, overlooking the root system [<xref rid="pone.0309052.ref018" ref-type="bibr">18</xref>, <xref rid="pone.0309052.ref021" ref-type="bibr">21</xref>, <xref rid="pone.0309052.ref025" ref-type="bibr">25</xref>]. Consequently, these were lack of integrity and systematism. Drawing upon our lab’s outcomes [<xref rid="pone.0309052.ref014" ref-type="bibr">14</xref>, <xref rid="pone.0309052.ref026" ref-type="bibr">26</xref>–<xref rid="pone.0309052.ref030" ref-type="bibr">30</xref>, <xref rid="pone.0309052.ref050" ref-type="bibr">50</xref>, <xref rid="pone.0309052.ref051" ref-type="bibr">51</xref>], we have achieved a 3D dynamic visualization of the entire rice plant over GDD. This visualization considers the synchronized relationship between the above-ground part and root system, as depicted in <xref rid="pone.0309052.g010" ref-type="fig">Fig 10</xref>. This comprehensive approach provides valuable support for the study of rice plant phenotypes, enabling a deeper understanding of their morphological and physiological characteristics.</p><p>Given the variations among rice individuals, there is an increased demand for efficient algorithms and rendering techniques that can optimize both the rendering efficiency and realism of plant populations. In this study, the differences between rice individuals are made by randomizing organ morphological and structural parameters as well as dynamically randomly allocating tiller number based on the simulation with the model of tiller number [<xref rid="pone.0309052.ref048" ref-type="bibr">48</xref>]. Concurrently, we improve the visualizations of rice populations by incorporating multi-technology fusion algorithms that are founded on grid model simplification and LOD. These advancements significantly boost both the rendering efficiency and realism of the visualizations.</p><p>In this study, we employed a leaf segmentation method grounded in our virtual rice model to simulate the LAI of two rice cultivars across different growth stages. Comparisons between measured and simulated LAI reveal that the simulated LAIs tend to exceed measured values, but they maintain acceptable deviations by the evaluation with RE, RMSE, MAE, and R<sup>2</sup> (<xref rid="pone.0309052.t001" ref-type="table">Table 1</xref> and <xref rid="pone.0309052.g013" ref-type="fig">Fig 13</xref>). This slight overestimation was mainly caused from considering yellow leaves in the computation of leaf area, whereas such leaves were not considered in the measurement of rice LAI. This discrepancy in simulated LAI could potentially result in deviations in crop growth status assessment and yield forecasts. As the number of leaf segmentations increases, the lost leaf area decreases, resulting a corresponding increase in LAI. However, our analysis revealed no significant differences in the errors associated with different segmentation levels (<xref rid="pone.0309052.t001" ref-type="table">Table 1</xref>). If the quantity of leaf segmentations is insufficient, the virtual rice lacks realism. Conversely, an excessive amount would lead to a surge in computational demand. Therefore, a number of 10 for leaf segmentations is deemed appropriate. The virtual rice model can simulate the plant phenotype continuously, enabling predictions of crop growth status and production throughout the growing cycle, without the need for actual field experiments. This approach alleviates the constraints of research reliant on traditional crop field experiment [<xref rid="pone.0309052.ref053" ref-type="bibr">53</xref>, <xref rid="pone.0309052.ref054" ref-type="bibr">54</xref>].</p><p>In addition to LAI, the virtual rice model also allows for the extraction of various rice phenotype parameters, including plant height, leaf angle, organ length, and others, which can then be compared with measured values for analysis. Rice morphology is complex and influenced by numerous factors, including nitrogen, water availability, planting density, pests, and diseases. To address these, future research will focus on enhancing and optimizing the morphological modeling and visualization capabilities of the virtual rice model to adapt to different growth conditions, based on field experiments under different treatments. The improved models will then be able to predict a wider range of rice phenotype parameters, thereby providing valuable support for rice production and management.</p></sec><sec id="sec017" disp-level="1"><title>5 Conclusion</title><p>Drawing upon the previous findings and the intricate synchronization relationships within rice plant, we have achieved 3D dynamic simulations of the above-ground components, root system, rice individuals, and rice populations, leveraging computer programming and graphic technique. Furthermore, our virtual rice model has demonstrated excellent results in simulating the LAI for two rice cultivars across various growth stages, where RE spans from 7.58% to 12.69%, as well as the RMSE, MAE, and R<sup>2</sup> are 0.56, 0.55, and 0.86, respectively. These advancements offer valuable models and technical support for 3D visualizations of other crop plants, as well as their application in crop production and management.</p></sec><sec id="sec018" disp-level="1"><title>Supporting information</title><supplementary-material id="pone.0309052.s001" position="float"><?disp-level 2?><label>S1 Data</label><caption><p>(XLSX)</p></caption><media xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="pone.0309052.s001.xlsx" mimetype="application" mime-subtype="vnd.openxmlformats-officedocument.spreadsheetml.sheet"><?cloudpmc-path bf48/11581221/2eb083843f9d/pone.0309052.s001.xlsx?><?cloudpmc-bucket app?><?size 18487?></media></supplementary-material></sec><sec id="ack1" sec-type="ack" disp-level="1"><title>Acknowledgments</title><p>The authors thank Dr. Yubin Yang of Texas A&amp;M University System and Prof. Xiong You of Nanjing Agriculture University for reviewing an earlier draft of the manuscript.</p></sec><sec id="notes1" disp-level="1"><title>Data Availability</title><p>All relevant data are within the manuscript and its <xref rid="sec018" ref-type="sec">Supporting Information</xref> files.</p></sec><sec id="funding-statement1" xml:lang="en" disp-level="1"><title>Funding Statement</title><p>The author(s) received no specific funding for this work.</p></sec><sec id="ref-list1" sec-type="ref-list" disp-level="1"><title>References</title><sec id="ref-list1_sec2" disp-level="2"><ref-list><ref id="pone.0309052.ref001"><label>1.</label><mixed-citation><named-content content-type="citation-string">Cao H.X., Zhao S.L., Ge D.K., Liu X.Y., Liu Y., Sun J.Y., et al. , 2011. 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